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3 years ago

Can someone tell me the right answer

Mathematics

1 answer:

butalik [34]3 years ago

5 0

Answer:

<h2>Sorry I couldn't find it.</h2>

Step-by-step explanation:

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used

AlexFokin [52]

Answer:

<u> 105</u> students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be $12x.$

And the students prefer kiwi be $5x.$

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

$12x+5x=357$

$17x=357$

<em>Dividing both sides by 17 we get:</em>

$x=21.$

<em>Thus, students prefer kiwi are:</em>

$5x$

$=5\times 21=105.$

Therefore, 105 students could prefer kiwi if there are 357 total students.

3 0

3 years ago

+<br> What is the answer

padilas [110]

The answer is edition

8 0

3 years ago

the gross income is $215 per week the deductions are $15.16,$29.33,2%,1%,and 3% what is the net income

Naddik [55]

State tax = 2% of $215 = 0.02 x $215 = $4.30
city tax = 1% of $215 = 0.01 x $215 = $2.15
retirement fund = 3% of $215 = 0.03 x $215 = $6.45

Total deductions = $15.16 + $29.33 + $4.30 + $2.15 + $6.45 = $57.39

Net income = $215 - $57.39 = $157.61

8 0

3 years ago

Helpppppppppppp 33points

Evgen [1.6K]

1st page: it is the fourth answer, y is less than or equal to 12

2nd page: it is the second answer, m is less than or equal to 450

3rd page: it is the first answer, x > -3

4th page: it is the fourth answer, b is more than or equal to 500

5 0

3 years ago